Families of rationally connected varieties
Webfamily of (birationally) rationally simply connected varieties over a surface has a rational section. There are two good reasons why this is too simplistic: (1) it seems hard to come … WebSee the paper Families of rationally connected varieties, J. Amer. Math. Soc. 16 (2003), no. 1, 57–67, in particular Corollary 1.3. Share. Cite. Improve this answer. Follow edited Oct 16, 2013 at 23:57. Will Sawin. 123k 8 8 gold badges …
Families of rationally connected varieties
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WebWe prove that every curve on a separably rationally connected variety is rationally equivalent to a (non-effective) integral sum of rational curves. That is, the Chow group of … Webrationally connected varieties is better behaved. For example, the condition of rational connectivity is both open and closed in smooth proper families; there are geometric …
WebOct 27, 2001 · Families of rationally connected varieties Authors: Tom Graber Joe Harris Jason Starr Request full-text Abstract We prove that a one-parameter family of … WebAug 5, 2011 · Families of rationally simply connected varieties over surfaces and torsors for semisimple groups A. J. de Jong, Xuhua He & Jason Michael Starr Publications …
WebRationally connected varieties form an important class of varieties. In dimensions 1 and 2 rational connectivity coincides with rationality, but the two notions diverge in higher dimensions and in virtually every respect … WebAug 5, 2011 · Under suitable hypotheses, we prove that a form of a projective homogeneous variety G/P defined over the function field of a surface over an algebraically closed field has a rational point. The method uses an algebro-geometric analogue of simple connectedness replacing the unit interval by the projective line. As a consequence, we complete the …
Web1 8 M ar 2 00 2 Rationally connected varieties and fundamental groups. J. Kollár. Mathematics. 2008. On a rationally connected variety we would like to use rational …
Web(2) U is A1-connected (resp. separably A1-connected) if there exists a variety T and a T-family of A1-curves fW T A1! Usuch that.f/.2/WD f TfW T A1 A1! U U is dominant (resp. dominant and separable). Note that A1-connected varieties are analogue of rationally connected varieties in the stihl fs 46 trimmer reviewsWeb3 ⊂ P4 is rationally connected, and, by Proposition 2.4, a general conic on X 3 is very free. (Recall that X 3 is not rational!) Now let us look at some properties of rationally … stihl fs 460 partsstihl fs 460 c-em brushcutterWebput an algebraic varieties into the machine, i.e., X ↓ MMP ↙ ↘ Xmin:a minimal model Xmori: a Mori fiber space Among uniruled varieties, there is a special class consisting of rationally connected varieties. Roughly speaking, a variety Xis said to be uniruled if Date: March 15, 2024. 1Partially supported by the NSFC Grant 11371381 . 1 stihl fs 480 partshttp://math.columbia.edu/~dejong/ stihl fs 46 weedeater priceWebof rationally connected varieties are rationally chain-connected, and if the limit has mild singularities there exist irreducible connecting rational curves. ... There are finitely many families of Fano varieties in every dimension. These constitute basic building blocks in the Minimal Model Program, and one expects that every rationally- ... stihl fs 45c trimmer partsWebapproximation conjecture for flat families of rationally connected varieties over a complex curve. Conjecture 1.1. Let π : X → B be a flat surjective morphism from a … stihl fs 46 recoil starter assembly