Normal projective degenerations of rational and ruled surfaces.

Lucian Badescu

Displaying similar documents to “Normal projective degenerations of rational and ruled surfaces.”

Normal projective surfaces with $ρ = 1, P_{- 1} ⩾ 5$

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Rendiconti del Seminario Matematico della Università di Padova

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Zero cycles on a singular surface. I. Appendix: Chow groups of rational surfaces with rational double points.

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Existence of rational points on smooth projective varieties

Bjorn Poonen (2009)

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Projective threefolds containing a smooth rational surface with ample normal bundle.

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Emilia Mezzetti (1992)

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Voica, Cristian (2001)

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Antonio Lanteri, Sonia Brivio (1989)

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Rational Surfaces of Kodaira Type IV

Gioia Failla, Mustapha Lahyane, Giovanni Molica Bisci (2007)

Bollettino dell'Unione Matematica Italiana

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We study the geometry of a rational surface of Kodaira type IV by giving the nature of its integral curves of self-intersection less than zero, in particular we show that they are smooth and rational. Hence, under a reasonable assumption, we prove the finite generation of its monoid of effective divisor classes and in almost all cases its anticanonical complete linear system is of projective dimension zero and of self- intersection strictly negative. Furthermore, we show that if this...