Locally factorial
WitrynaThis is a glossary of algebraic geometry.. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory.For the number … Witrynaare Q-factorial if and only if G has finite abelianization. When G is connected and semi-simple, we show they are actually locally factorial. As a consequence, the sym-plectic singularities do not admit symplectic resolutions when G is semi-simple. We end with some open questions. 1 Introduction
Locally factorial
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Witryna19 wrz 2024 · Rank 1 flat modules are classified for a locally factorial noetherian domain by extending the concept of divisor. A direct sum of rank one flat modules in … Witryna2 wrz 2024 · Since we have a locally factorial scheme, no need to worry about the rest. $\endgroup$ – Kirigaya Kazuto. Sep 2, 2024 at 14:52. 1 $\begingroup$ Yes, the complement of an open affine in a locally factorial scheme is the support of an (effective) Cartier divisor. $\endgroup$ – Jason Starr.
Witryna11 kwi 2011 · Sur le produit de variétés localement factorielles ou Q-factorielles. We show that the factorial and Q-factorial loci of algebraic varieties defined over an … Witryna1 kwi 1990 · We also characterize locally factorial domains as domains D whose minimal prime ideals of a nonzero principal ideal are locally principal and discuss conditions that make them Krull domains.
WitrynaViewed 2k times. 13. Let X be an algebraic variety. I have read the following definitions: X is factorial if every Weil divisor on X is Cartier. X is locally factorial if all its local …
WitrynaThe ring ( R Q, Q R Q) is then a Noetherian local domain. Furthermore, because Q is a locally free module of rank 1, the maximal ideal Q R Q = Q Q is principal. There is a theorem ( Theorem 17.19) saying that for a one-dimensional Noetherian local domain …
Witryna12 mar 2024 · Let X be a locally factorial, projective variety with canonical singularities and with at most finitely many non-terminal points. Let \(f:X\rightarrow Y\) be a fiber … maslow before bloomsWitryna(vi) locally factorial, then the same is true for Y. Proof. The proof of (i) and (ii) is easy, while (iii) was done in class. To prove (iv) let’s localize Y at a point yof height m n. Consider the scheme X y, and let x be one of its generic points. By … hyatt place jacksonville/st johns town centerWitrynaużytkowników systemu SmartGEM: Zarządy Dróg Wojewódzkich, miasta na prawach powiatu, Zarządy Dróg Powiatowych, Urzędy miast i gmin. Jesteśmy firmą … maslow believedWitryna1 wrz 1984 · LOCALLY FACTORIAL INTEGRAL DOMAINS An integral domain R is locally factorial if R^is factorial for each nonzero nonunit fER. Thus R is locally … maslow bbc bitesizeWitryna20 lis 2024 · The local class group of a Krull domain A is the quotient group G (A) = CI (A)/Pic (A). A Krull domain A is locally factorial if and only if G (A) = 0. In this paper, … hyatt place johns creek gaWitryna9 sty 2006 · Abstract. Moduli spaces of semistable sheaves on a K3 or abelian surface with respect to a general ample divisor are shown to be locally factorial, with the … hyatt place jax international airportWitryna14 cze 2024 · Recently, Herbig–Schwarz–Seaton have shown that 3-large representations of a reductive group G give rise to a large class of symplectic … hyatt place johns creek