Zobrazeno 1 - 10 of 107 pro vyhledávání: '"Shigeru Mukai"'
3
Stability and Einstein-Kähler Metric of a Quartic del Pezzo Surface
Autor: Toshiki Mabuchi, Shigeru Mukai
A del Pezzo orbifold S is a compact irreducible complex surface, with only isolated quotient singularities, such that c1(S) > 0. The self-intersection number c1(S)2 is called its degree, and a smooth S is called a del Pezzo surface. Let Σ be the set
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4d043ee940218d71d93d7fbeaea13128
https://doi.org/10.1201/9781003071891-11
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5
Polarized K3 surfaces of genus thirteen
Autor: Shigeru Mukai
Publikováno v: Moduli Spaces and Arithmetic Geometry (Kyoto, 2004), S. Mukai, Y. Miyaoka, S. Mori, A. Moriwaki and I. Nakamura, eds. (Tokyo: Mathematical Society of Japan, 2006)
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18da7e0fdac0c91f56f88145828ebb9a
https://doi.org/10.2969/aspm/04510315
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6
Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics
Autor: Shigeru Mukai
Publikováno v: Kyoto J. Math. 53, no. 2 (2013), 515-532
We generalize Tango’s theorem on the Frobenius map of the first cohomology groups to higher-dimensional algebraic varieties in characteristic $p\gt 0$ . As an application we construct counterexamples to Kodaira vanishing in higher dimension and pro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b55eb11a35233b5be337bc1025b53f29
http://hdl.handle.net/2433/176346
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8
Curves and symmetric spaces, II
Autor: Shigeru Mukai
Publikováno v: Annals of Mathematics. 172:1539-1558
Let Sym 3 C →P * (k⊕Sym 3 k⊕Sym 3 k⊕k) = P 13 , A ↦ (1:A:A':det A) be the Veronese embedding of the space of symmetric matrices of degree 3, where A' is the cofactor matrix of A. The closure SpG(3, 6) of this image is a 6-dimensional homoge
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https://doi.org/10.4007/annals.2010.172.1539
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9
Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford’s example and an application to 𝐻𝑜𝑚 schemes
Autor: Shigeru Mukai, Hirokazu Nasu
Publikováno v: Journal of Algebraic Geometry. 18:691-709
We give a sufficient condition for a first order infinitesimal deformation of a curve on a 3 3 -fold to be obstructed. As application we construct generically non-reduced components of the Hilbert schemes of uniruled 3 3 -folds and the Hom scheme fro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6c533b405902167c3297caaf3870f3cb
https://doi.org/10.1090/s1056-3911-08-00502-x
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10
K3 surfaces of genus sixteen
Autor: Shigeru Mukai
Publikováno v: Minimal Models and Extremal Rays (Kyoto, 2011), J. Kollár, O. Fujino, S. Mukai and N. Nakayama, eds. (Tokyo: Mathematical Society of Japan, 2016)
The generic polarized $K3$ surface $(S, h)$ of genus 16, that is, $(h^2)=30$, is described in a certain compactified moduli space $\mathcal T$ of twisted cubics in $\mathbb{P}^3$, as a complete intersection with respect to an almost homogeneous vecto
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96cfadfbbcbf9fb5fc48b650d669119f
https://projecteuclid.org/euclid.aspm/1538622713
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