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Algebraic Geometry papers — page 49

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On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic p
This paper is about sheaf cohomology for varieties (schemes) in characteristic p>0. We assume the presence of a Frobenius splitting. (See V.B. Mehta and A. Ramanathan, Frobenius splitting and…
V. B. Mehta, Wilberd van der KallenFeb 13, 1992
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On irregular links at infinity of algebraic plane curves
We give two proofs of a conjecture of the first author (Inv. Math. 98, 1989) that a reduced algebraic plane curve is regular at infinity if and only if its link at infinity is a regular toral link.…
Walter D. Neumann, Le Van ThanhFeb 12, 1992
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The algebraic de Rham theorem for toric varieties
On an arbitrary toric variety, we introduce the logarithmic double complex, which is essentially the same as the algebraic de Rham complex in the nonsingular case, but which behaves much better in…
Tadao OdaFeb 12, 1992
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Twistors, Kaehler Manifolds, and Bimeromorphic Geometry II
Using examples of compact complex 3-manifolds which arise as twistor spaces, we show that the class of compact complex manifolds bimeromorphic to Kähler manifolds is not stable under small…
Claude LeBrun, Yat-Sun PoonFeb 11, 1992
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On the difference between real and complex arrangements
Let B be an arrangement of linear complex hyperplanes in Cd. Then a classical result by Orlik \& Solomon asserts that the cohomology algebra of the complement can be constructed from the…
Günter M. ZieglerFeb 11, 1992
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Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
We give a mathematical account of a recent string theory calculation which predicts the number of rational curves on the generic quintic threefold. Our account involves the interpretation of Yukawa…
David R. MorrisonFeb 10, 1992
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Complex Contact Threefolds and Their Contact Curves
A complex contact threefold is a threefold with a two-dimensional non-integrable holomorphic distribution. A contact curve on a contact threefold is an integrable curve of the distribution. This work…
Yun-Gang YeFeb 7, 1992
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Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups
We classify simple flops on smooth threefolds, or equivalently, Gorenstein threefold singularities with irreducible small resolution. There are only six families of such singularities, distinguished…
Sheldon Katz, David R. MorrisonFeb 5, 1992
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Rational Curves on Calabi-Yau Threefolds
The point is to compare the mathematical meaning of the ``number of rational curves on a Calabi-Yau threefold'' to the meaning ascribed to the same notion by string theorists.
Sheldon KatzFeb 5, 1992
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