Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number

Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number
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第三贝蒂数消失的半稳定椭圆面的去奇异化纤维产品

DOI:
10.1112/s0010437x08003801
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发表时间:
2008
影响因子:
1.8
通讯作者:
Chad Schoen
Chad Schoen
中科院分区:
数学1区
文献类型:
--
作者:
Chad Schoen

文献摘要

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摘要对Hetale =0的半稳定椭圆曲面的去奇异纤维积进行了分类。这类簇可以在超奇异三重性、平凡正则丛簇的变形理论和刚性卡-丘三重性的算术退化的研究中发挥作用。
Abstract Desingularized fiber products of semi-stable elliptic surfaces with Hetale3=0 are classified. Such varieties may play a role in the study of supersingular threefolds, of the deformation theory of varieties with trivial canonical bundle, and of arithmetic degenerations of rigid Calabi–Yau threefolds.