Families of rationally connected varieties
WebAbstract Varieties of Fano type are very well behaved with respect to the MMP, and they are known to be'/> 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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WebBased on a recent extension theorem for reflexive differential forms, that is, regular differential forms defined on the smooth locus of a possibly singular variety, we study the geometry and cohomology of sheaves of r… Web3.2 Sections of families of separably rationally connected varieties . . 47 3.2.1 Strategy of the proof of the theorem . . . . . . . . . . . . 49 ... 4 Separably rationally connected varieties over non algebraically closed elds 55 4.1 Very free rational curves on separably rationally connected vari-
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 …
WebMar 25, 2024 · Results of this type were first shown by Prokhorov, Shramov, and Birkar in for birational transformations of any varieties and improvements were made for rationally connected varieties in . 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 …
WebMar 11, 2024 · Graber T, Harris J, Starr J. Families of rationally connected varieties. J Amer Math Soc, 2003, 16: 57–67. Article MathSciNet MATH Google Scholar Greb D, …
WebSep 26, 2024 · A Remark on Rationally Connected Varieties and Mori Dream Spaces - Volume 62 Issue 1. Skip to main content Accessibility help ... Graber, T., Harris, J. and … fb holzbauWebIts aim is to study the birational properties of those varieties which are covered by rational curves. It is reasonable to expect that many of their properties can be detected by … fb horizonsWebare all rationally connected. Iskovskikh and Manin [27] established that no such quartic is rational using the method of birational rigidity: they proved that every birational automorphism of Xextends to an automorphism of X. However, the group of birational automorphisms of rational varieties is huge. fb horizonWebFeb 1, 2013 · Yes indeed; the full proof of the classical simple connectedness of a complex rationally connected smooth projective variety can be found in Chapter 4 of Debarre's book. By the way, the nodal curve y2 = x3 is not simply connected, so the result does not extend to singular rationally connected varieties. @Tim. fb hommik anugahttp://math.columbia.edu/~dejong/ fb hotel koronadalWebSep 27, 2001 · Families of rationally connected varieties Tom Graber, Joe Harris, Jason Starr We prove that a one-parameter family of rationally connected varieties (over an … f-bhszWebSep 1, 2005 · A “pseudosection” of the total space X of a family of varieties over a base variety B is a subvariety of X whose general fiber over B is rationally connected. We prove a theorem which is a converse, in some sense, of the main result of [T. Graber, J. Harris, J. Starr, Families of rationally connected varieties, J. Amer. Math. Soc. 16 (2003) … hoplita dibujo