Rationally Connected Varieties
نویسنده
چکیده
1 13 4. Free rational curves 14 5. Uniruledness 16 5.1. Definitions equivalent to uniruledness 16 5.2. Examples and consequences of uniruledness 18 6. Rational connectivity 20 6.1. Definitions equivalent to rational connectivity 21 6.2. Rational chain-connectivity implies rational connectivity 22 6.3. Examples and consequences of rational connectivity 26 7. The MRC quotient 27 7.1. Quotients by algebraic relations 28 7.2. Construction of the MRC quotient 31 8. Fano varieties 32 9. Fibrations 36 References 40
منابع مشابه
2 Rationally Connected Varieties over Finite Fields
In this paper we study rationally connected varieties defined over finite fields. Then we lift these results to rationally connected varieties over local fields. Roughly speaking, a variety X over an algebraically closed field is rationally connected if it contains a rational curve through any number of assigned points P1, . . . , Pn. See [Kollár01a] for an introduction to their theory and for ...
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In this paper we study rationally connected varieties defined over finite fields. Then we lift these results to rationally connected varieties over local fields. Roughly speaking, a variety X over an algebraically closed field is rationally connected if it contains a rational curve through any number of assigned points P1, . . . , Pn. See [Kollár01] for an introduction to their theory and for a...
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