Generically smooth
A property of an irreducible algebraic variety X is said to be true generically if it holds except on a proper Zariski-closed subset of X, in other words, if it holds on a non-empty Zariski-open subset. This definition agrees with the topological one above, because for irreducible algebraic varieties any non-empty open set is dense. For example, by the Jacobian criterion for regularity, a generic point of a variety over a field of c… WebFeb 25, 2010 · Generically stable and smooth measures in NIP theories. We study stable like behaviour in first order theories without the independence property. We introduce …
Generically smooth
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WebIn particular the p>7 requirement ensures that terminal del Pezzo fibrations have generically smooth fibres and the p> \frac {2} {\delta } is needed to control the singularities appearing in the base of a conic bundle. This in turn allows for lower dimensional boundedness results to be applied. WebOct 9, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site
WebSo you have generic smoothness. 1) Bertini's theorem. Suppose K is algebraically closed and let X ⊂ P K n be a smooth subvariety. Then for an open dense set of hyperplanes in … WebJan 29, 2024 · smooth (adj.) smooth. (adj.) "having a uniform surface, not rough," a Middle English form, from Old English smoð, a variant of smeðe "free from roughness, not …
WebApr 26, 2016 · The smooth locus is open by the definition of a smooth morphism (since is locally of finite type), and as is geometrically reduced, if is the generic point of an … WebDec 23, 2024 · We consider the barotropic Euler equations in dimension d>1 with decaying density at spatial infinity. The phase portrait of the nonlinear ode governing the equation for spherically symmetric self-similar solutions has been introduced in the pioneering work of Guderley. It allows to construct global profiles of the self-similar problem, which however …
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WebLet X !B be a generically smooth complex projective family of varieties. There is a diagram U X ˜ / X 1 /X U B ˜ /B 1 /B with B 1!B an alteration, X 1!(X B B 1) main a modi cation of the … the cast of the shieldWebMar 1, 2024 · We explicitely describe components of moduli spaces of rank Ulrich vector bundles whose general point is a slope-stable, indecomposable vector bundle. We moreover determine the dimension of such components as well as we prove that they are generically smooth. As a direct consequence of these facts, we also compute the Ulrich complexity … the cast of the spiderwick chroniclestavel wine roseWebApr 7, 2016 · In this paper, we prove that given a flat generically smooth morphism between smooth projective varieties with -pure closed fibers, if the source space is Fano, weak Fano or a variety with the nef anti-canonical divisor, then so is the target space. the cast of the purgeWebGENERICALLY ISOTROPIC GROUP SCHEMES ARE ISOTROPIC 5 The notion of a non-degenerate RASS section is compatible with formally ´etale base changes and is local in the ´etale topology. Proposition 2.3. Let G be a root-smooth reductive group scheme over a scheme S. Then there is the cast of the sixth senseWebMar 28, 2024 · (1) the generic fiber X ξ → S p e c κ ( ξ) is smooth (2) there exists a smooth fiber X s → S p e c ( κ ( s)) for some s ∈ S (3) there exists a dense open set U ⊂ S such that f: X U → U is smooth. A possible reference is [EGA-IV-4-12.2.4] then use properness to conclude that the image of the nonsmooth locus is closed. tavener hymn to the mother of godWebThere are various statements which would fit your criteria. They often times go under the heading of 'generic smoothness'. For example, if char ( k) = 0, and X / k is smooth, then … tavener mary of egypt