Locally factorial
Witryna9 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 …
Locally factorial
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Witryna6 mar 2024 · A Noetherian scheme X is called factorial if all local rings of X are unique factorization domains. (Some authors say "locally factorial".) In particular, every … 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 …
WitrynaX is locally factorial. Note that these conditions are Zariski local, i.e. X is Q-factorial (respectively, locally factorial) if and only if OX,x is Q-factorial (respectively, … Witryna[Math] If the scheme $X$ is locally factorial, can it be covered by affine opens of the form $\operatorname{Spec} A$ for $A$ a UFD. algebraic-geometry commutative-algebra
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 … WitrynaWe now show that factorial rings are closed under the operation of forming polynomial rings. Theorem 1.5 (Gauss’s lemma) If Ris factorial, so is the polynomial ring R[X]. In …
Witryna(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 …
Witryna22 lip 2012 · My understanding is that it is equivalent to find a normal Noetherian domain with vanishing Picard group which is not locally factorial. I would be especially happy … meaning of luminosityWitrynaThe proof is standard and uses the fact that regular implies locally factorial. Taking cohomology and using asqueness of Kand Div, we get two results: 1. H1(X;O X) = … meaning of lumpectomyWitrynaSummaryA projectively normal subvariety (X,OX) ofPN(k), k an algebraically closed field of characteristic zero, will be said to be projectively almost-factorial if each Weil … meaning of lumperWitrynaA GIT quotient is a categorical quotient of the locus of semistable points; i.e., "the" quotient of the semistable locus. Since the categorical quotient is unique, if there is a … pecking order theory myers 1984WitrynaAbstract. We show that the factorial and Q-factorial loci of algebraic varieties defined over an algebraically closed field are open, that products of locally factorial varieties … pecking order vs trade off theoryWitryna12 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 … pecking order theory中文WitrynaIn 8.1 we recall some results on locally factorial varieties. Let Gbe a reductive group acting on a smooth a ne variety X. Then under some hypotheses, we prove that … meaning of lumped