Varieties of small Kodaira dimension whose cotangent bundles are semiample

Tsuyoshi Fujiwara

Displaying similar documents to “Varieties of small Kodaira dimension whose cotangent bundles are semiample”

On generation of jets for vector bundles.

Mauro C. Beltrametti, Sandra Di Rocco, Andrew J. Sommese (1999)

Revista Matemática Complutense

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We introduce and study the k-jet ampleness and the k-jet spannedness for a vector bundle, E, on a projective manifold. We obtain different characterizations of projective space in terms of such positivity properties for E. We compare the 1-jet ampleness with different notions of very ampleness in the literature.

Cohomology of desingularization of moduli space of vector bundles

Nitin Nitsure (1989)

Compositio Mathematica

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A Pieri-Chevalley formula in the K-theory of a $G / B$ -bundle.

Pittie, Harsh, Ram, Arun (1999)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Connections and 1-jet fiber bundles

Pedro L. García (1972)

Rendiconti del Seminario Matematico della Università di Padova

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A necessary and sufficient condition for the existence of a bundle in differential spaces

B. Walczak (1980)

Annales Polonici Mathematici

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The connectedness of degeneracy loci

Loring W. Tu (1990)

Banach Center Publications

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Some vector subbundles of a cotangent bundle of order 2

Jacek Gancarzewicz (1983)

Annales Polonici Mathematici

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Poincaré bundles for projective surfaces

Nicole Mestrano (1985)

Annales de l'institut Fourier

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Let $X$ be a smooth projective surface, $K$ the canonical divisor, $H$ a very ample divisor and $M_{H} (c_{1}, c_{2})$ the moduli space of rank-two vector bundles, $H$ -stable with Chern classes $c_{1}$ and $c_{2}$ . We prove that, if there exists $c_{1}^{'}$ such that $c_{1}$ is numerically equivalent to $2 c_{1}^{'}$ and if $c_{2} - \frac{1}{4} c_{1}^{2}$ is even, greater or equal to $H^{2} + H K + 4$ , then there is no Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ . Conversely, if there exists $c_{1}^{'}$ such that the number $c_{1}^{'} \cdot c_{1}$ is odd or if $\frac{1}{2} c_{1}^{2} - \frac{1}{2} c_{1} \cdot K - c_{2}$ is odd, then there exists a Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ .

Ample vector bundles with sections vanishing along conic fibrations over curves.

Tommaso De Fernex (1998)

Collectanea Mathematica

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Particular $F$ -structure on vector bundle and compatible $D$ -connections.

Stoica, Emil (1999)

Novi Sad Journal of Mathematics

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