Corrado Segre and nodal cubic threefolds

Igor Dolgachev

Corrado Segre and nodal cubic threefolds

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arxiv 1501.06432 v1 pith:EA7UGH2T submitted 2015-01-26 math.AG

Igor Dolgachev This is my paper · ORCID

classification math.AG

keywords nodalsegrecorradocubicdiscussthreefoldsworkalgebraic

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We discuss the work of Corrado Segre on nodal cubic hypersurfaces with emphasis on the cases of 6-nodal and 10-nodal cubics. In particular, we discuss the Fano surface of lines and conic bundle structures on such threefolds. We review some of the current research in algebraic geometry related to Segre's work.

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Anomaly cancellation for two $U(1)$ factors
hep-th 2026-07 accept novelty 7.0 of 10

Abelian anomaly cancellation for rank-K U(1) summands equates to finding (K-1)-planes on a cubic hypersurface over Q; for K=2 and six fermions this is the Fano surface of the Segre cubic, whose rational components ful...

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