过分 发表于 2025-3-23 13:16:55
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Preliminaries,A morphism f: X → Y of integral schemes over an algebraically closed field K is called a . if f is finite and of degree 2. A double cover is said to be . (resp. . if the corresponding extension of the fields of rational functions is separable (resp. inseparable).PATRI 发表于 2025-3-24 00:54:14
Enriques Surfaces: Generalities,Let K be an algebraically closed field of arbitrary characteristic p. In this section we recall the main results of the classification of nonsingular projective surfaces over K. We refer to . for the proofs of all the assertions peculiar to the case of positive characteristic and to general textbooks . for the case of characteristic zero.伴随而来 发表于 2025-3-24 04:47:30
Lattices and Root Bases,A . is a free abelian group M of finite rank rk(M) equipped with a symmetric bilinear form ϕ:MxM → .. The value of this form on a pair (x,y)∈MxM will be denoted by x•y. We write x. to denote x•x.Alpha-Cells 发表于 2025-3-24 07:28:20
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Genus One Fibration,Let S be a regular integral scheme of dimension 1, η be its generic point and K = K(η) be its residue field. A projective morphism f: X → S is said to be . if X is regular and irreducible, and the general fibre X. is a geometrically integral regular algebraic curve of arithmetic genus 1.个阿姨勾引你 发表于 2025-3-24 20:31:51
https://doi.org/10.1007/978-3-319-50775-0e of them to give the first examples of nonrational algebraic surfaces on which there are no regular differential forms. At the same time a different construction of such surfaces was given by another Italian geometer, no less famous, Guido Castelnuovo. The original construction of Enriques gives aGROG 发表于 2025-3-24 23:51:43
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