Selected works of Phillip A. Griffiths with commentary: 3 Variations of Hodge structures
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| Format: | Book |
| Language: | English |
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Providence, RI [u.a.]
American Mathematical Society [u.a.]
2003
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| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXVI, 564 S. Ill. |
| ISBN: | 0821820885 |
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| 245 | 1 | 0 | |a Selected works of Phillip A. Griffiths with commentary |n 3 |p Variations of Hodge structures |c C. Herbert Clemens..., eds. |
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Table
of
Contents
Part
1:
ANALYTIC GEOMETRY
Preface
xi
Introductory Comments to
Selecta
xiii
Curriculum
Vitae
of Phillip A. Griffiths
xv
Bibliography: Phillip A. Griffiths
xvii
ANALYTIC GEOMETRY
1
Introductory Comments to Part
1 3
Vector Bundles
13
The extension problem for compact submanifolds of complex manifolds, I.
(The case of a trivial normal bundle),
Proc. Conf.
on Complex
Analysis (Minneapolis),
(1964), 113-142 15
The Extension Problem in Complex Analysis II. Embeddings with Positive
Normal Bundle,
Amer. J.
Math. 88 (1966), 366-446 45
Hermitian differential geometry, Chern classes, and positive vector bundles,
Global Analysis, Univ. Tokyo Press, Tokyo,
1969, 185-251 127
Period Spaces and Hodge Theory
195
(with W.
Schmid),
Locally Homogeneous Complex Manifolds,
Acta
Math.
123 (1969), 253-302 197
(with W.
Schmid),
Recent Developments in Hodge Theory: A Discussion of
Techniques and Results, Proceedings of the International Collo¬
quium on Discrete Subgroups of Lie Groups and Applications to
Moduli, Oxford University Press, Bombay,
1975, 31-127 247
(with P. Deligne, J. Morgan and D. Sullivan), Real Homotopy Theory of
Kahler
Manifolds, Invent. Math.
29
(3)(1975),
245-274 345
Analytic Geometry
375
Holomorphic Mappings into Canonical Algebraic Varieties, Ann. Math.
93
(1971), 439-458 377
PHILLIP A. GRIFFITHS
v
vi
TABLE OF CONTENTS
(with J. Carlson), A defect relation for equidimensional holomorphic map¬
pings between algebraic varieties, Ann. Math.
95 (1972), 557-
584 397
Complex differential and integral geometry and curvature integrals associated
to singularities of complex analytic varieties, Duke Math. J.
45
(3) (1978), 427-512 425
(with M. Cornalba), Analytic Cycles and Vector Bundles on
Non-
Compact
Algebraic Varieties, Invent. Math.
28
(1)(1975),
1-106 511
(with M. Green), Two Applications of Algebraic Geometry to Entire
Holomorphic Mappings, The Chern Symposium
1979. Springer-
Verlag: (1980), 41-74 617
Acknowledgments
651
Part
2:
ALGEBRAIC GEOMETRY
Preface
xi
Introductory Comments to
Selecta
xiii
Curriculum
Vitae
of Phillip A. Griffiths
xv
Bibliography: Phillip A. Griffiths
xvii
ALGEBRAIC GEOMETRY
1
Introductory Comments to Part
2 3
Cycles and Deformation Theory
11
Some Results on Algebraic Cycles on Algebraic Manifolds, Proceedings of the
International Conference on Algebraic Geometry held at Tata
Institute (Bombay) in January
1968,
Oxford University Press,
London,
1969, 93-191 13
Complex-analytic properties of certain Zariski open sets on algebraic vari¬
eties, Ann. Math.
94 (1971), 21-51 113
(with H. Clemens), The intermediate Jacobian of the cubic threefold, Ann.
Math.
95 (1972), 281-356 145
Abel's Theorem
221
Variations
on a Theorem, of Abel Invent. Math.
35 (1976), 321-390 223
(with J. Harris),
A Poncelet
theorem in space, Comment. Math. Helvetic!
52 (1977), 145-160 293
(with J. Harris), Residues and zero-cycles on algebraic varieties, Annals of
Math.
108
(197S).
461-505 309
vi
SELECTED WORKS WITH COMMENTARY
TABLE
OF
CONTENTS
vìi
(with
S. S.
Chem),
Abel's Theorem and Webs,
Jahresber. Deutsch. Math.
Verein. 80 (1978), 13-110.
Corrections, vol.
83 (1981), 78-83 355
Algebraic and Differential Geometry
453
Complex Analysis and Algebraic Geometry, Bull.
Amer.
Math.
Soc.
1
(4)
(July
1979), 595-625 455
(with J. Harris), Algebraic Geometry and Local Differential Geometry, Ann.
Scient.
Ее.
Norm. Sup. 4e
série, t.
12 (1979), 355-452 487
Loci of Divisors
585
(with J. Harris), On the Variety of Special Linear Systems on a General
Algebraic Curve, Duke Math. J.
47 (1)
(March
1980), 233-272 587
(with J. Harris), On the Noether-Lefschetz Theorem and Some Remarks on
Codimension-two Cycles,
Mathematische
Annalen
271 (1985)
31-51 627
(with
E.
Arbarello,
M. Cornalba, J.
Harris) Special Divisors on Algebraic
Curves, Regional Algebraic Geometry Conference, Athens, Geor¬
gia, May
1979 649
Acknowledgments
779
Part
3:
VARIATIONS OF HODGE STRUCTURES
Preface
xi
Introductory Comments to
Selecta
xiii
Curriculum
Vitae
of Phillip A. Griffiths
xv
Bibliography: Phillip A. Griffiths
xvii
VARIATIONS OF HODGE STRUCTURES
1
Introductory Comments to Part
З З
Periods of Integrals
11
Periods of Integrals on Algebraic Manifolds, I (Construction and Properties
of the Modular Varieties),
Amer. J.
Math.
XC (1968), 568-626 13
Periods of Integrals on Algebraic Manifolds, II. (Local Study of the Period
Mapping),
Amer.
J. Math. XC(3)(1968),
805-865 73
Periods of Integrals on Algebraic Manifolds, III (Some Global Differential-
Geometric Properties of the Period Mapping),
Pubi.
Math. IHES
38 (1970), 125-180 135
On the Periods of Certain Rational Integrals: I, Ann. Math.
90 (1969),
460-495 191
PHILLIP A. GRIFFITHS
vii
viii TABLE OF
CONTENTS
On the Periods of Certain Rational Integrals: II, Ann. Math.
90 (1969),
496-541 227
Periods of Integrals on Algebraic Manifolds: Summary of main results and
discussion of open problems, Bull.
Amer.
Math.
Soc.
76 (1970),
228-296 273
Variations of Hodge Structure
343
(with J. Carlson, M. Green and J. Harris), Infinitesimal Variations of Hodge
Structure (I), Compositio Math
50 (1983) 109-205 345
(with J. Harris), Infinitesimal Variations of Hodge Structure (II): An Infini¬
tesimal Invariant of Hodge Classes, Compositio Math.
50 (1983)
207-265 443
Infinitesimal Variations of Hodge Structure
(III): Determinantul
Varieties
and the Infinitesimal Invariant of Normal Functions, Compositio
Math.
50 (1983) 267-324 503
Acknowledgments
561
Part
4:
DIFFERENTIAL SYSTEMS
Preface
xi
Introductory Comments to
Selecta
xiii
Curriculum
Vitae
of Phillip A. Griffiths
xv
Bibliography: Phillip A. Griffiths
xvii
DIFFERENTIAL SYSTEMS
1
Introductiory Comments to Part
4 3
Moving Frames and Differential Geometry
9
On Cartan's Method of Lie Groups and Moving Frames as Applied to Unique¬
ness and Existence Questions in Differential Geometry, Duke
Math. J.
41
(4)(1974),
775-814 11
Differential Systems and Hodge Structures
51
Poincaré
and Algebraic Geometry, Bull. Am. Math.
Soc.
6 (2)
(March
1982) 147-159 53
(with R. Bryant), Some Observations on the Infinitesimal Period Relations
for Regular Threefolds with Trivial Canonical Bundle, Arithmetic
and Geometry, vol. II, Progress in Math.
36 (1983), 77-102 67
(with R. Bryant), Reduction for Constrained Variational Problems and
ƒ
|к2аѕ,
American Journal of Mathematics
108 (1986) 525-570 93
viii
SELECTED WORKS WITH COMMENTARY
TABLE
OF
CONTENTS
ix
Integr
ability
139
Linearizing Flows and a Cohomological Interpretation of Lax Equations,
American Journal of Mathematics
107 (1985) 1445-1484 141
The Characteristic Variety and Its Geometry
181
Some Aspects of Exterior Differential Systems, Complex Geometry and Lie
Theory,
Proc.
Symposia in Pure Mathematics
53,
American
Mathematical Society, Providence, RI,
1991, 151-173 183
(with R. Bryant), Characteristic Cohomology of Differential Systems (I): Gen¬
eral Theory, Journal of the
AMS
8 (1995),
pp.
507-596 207
(with R. Bryant), Characteristic Cohomology of Differential Systems(II):
Conservation Laws for a Class of Parabolic Equations, Duke
Mathematical Journal
78 (1995), 531-676 297
(with R. Bryant and L. Hsu), Hyperbolic exterior differential systems and
their conservation laws, I,
Selecta
Mathematica
(N.S.)
1 (1995),
21-112 443
(with R. Bryant and L. Hsu), Hyperbolic exterior differential systems and
their conservation laws, II,
Selecta
Mathematica (N.S.)
1 (1995),
265-323 535
Acknowledgments
595
PHILLIP A. GRIFFITHS |
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| isbn | 0821820885 |
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| spelling | Griffiths, Phillip 1938- Verfasser (DE-588)131881434 aut Selected works of Phillip A. Griffiths with commentary 3 Variations of Hodge structures C. Herbert Clemens..., eds. Providence, RI [u.a.] American Mathematical Society [u.a.] 2003 XXVI, 564 S. Ill. txt rdacontent n rdamedia nc rdacarrier Clemens, Charles Herbert 1939- (DE-588)172022444 edt (DE-604)BV017290661 3 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010422674&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Griffiths, Phillip 1938- Selected works of Phillip A. Griffiths with commentary |
| title | Selected works of Phillip A. Griffiths with commentary |
| title_auth | Selected works of Phillip A. Griffiths with commentary |
| title_exact_search | Selected works of Phillip A. Griffiths with commentary |
| title_full | Selected works of Phillip A. Griffiths with commentary 3 Variations of Hodge structures C. Herbert Clemens..., eds. |
| title_fullStr | Selected works of Phillip A. Griffiths with commentary 3 Variations of Hodge structures C. Herbert Clemens..., eds. |
| title_full_unstemmed | Selected works of Phillip A. Griffiths with commentary 3 Variations of Hodge structures C. Herbert Clemens..., eds. |
| title_short | Selected works of Phillip A. Griffiths with commentary |
| title_sort | selected works of phillip a griffiths with commentary variations of hodge structures |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010422674&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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