发炎
发表于 2025-3-28 18:02:22
https://doi.org/10.1007/978-3-531-91370-4 give here is due to Henrik Martens . There are more “geometric” proofs, some of which will be found in Griffiths-Harris or Arbarello-Cornalba-Griffiths-Harris . We begin with a general fact about complex tori.
河潭
发表于 2025-3-28 22:34:28
The Sheaf of Germs of Holomorphic Functions,ch pairs (., .) and (., .) are said to be equivalent, and define the same germ of holomorphic function at a, if there exists an open neighbourhood . of ., . ⊂ . ∩ ., such that . = .. An equivalence class is called a germ of holomorphic function at .; the class of a pair (.) is called the germ of . a
carbohydrate
发表于 2025-3-29 02:30:10
The Riemann Surface of an Algebraic Function,, then .is a finite covering (of .-sheets). In particular, π. (.. − .) has only finitely many connected components. Moreover, if . is a connected component of .’, then π’|. is again a covering, and so maps . onto P. − .. Hence .’ has only finitely many connected components. (We shall see below that
COMA
发表于 2025-3-29 07:08:57
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Merited
发表于 2025-3-29 10:05:14
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Delirium
发表于 2025-3-29 13:22:25
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沙发
发表于 2025-3-29 18:01:24
https://doi.org/10.1007/978-3-663-11402-4f ., . ⊂ . ∩ ., such that . = .. An equivalence class is called a germ of holomorphic function at .; the class of a pair (.) is called the germ of . at . and denoted by ... The value at . of .. is defined by ..(.) .(.) for any pair (.) defining ...
Facilities
发表于 2025-3-29 21:03:21
,Das europäische Mehrebenensystem,ine (or even vector) bundle on ℂ. is holomorphically trivial. Let . be a trivialisation. If λ ∈ Λ and . ∈ ℂ., then the isomorphisms . differ by multiplication by a constant since . if we denote this constant by φλ(.), then for λ ∈ Λ, . →φ.(.) is a holomorphic function without zeros, and we have, for λ, . ∈ Λ,
调味品
发表于 2025-3-30 00:56:51
The Sheaf of Germs of Holomorphic Functions,f ., . ⊂ . ∩ ., such that . = .. An equivalence class is called a germ of holomorphic function at .; the class of a pair (.) is called the germ of . at . and denoted by ... The value at . of .. is defined by ..(.) .(.) for any pair (.) defining ...
有效
发表于 2025-3-30 06:09:06
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