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On the irreducibility of Hilbert scheme of surfaces of minimal degree

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Bogomolov F., Kulikov V.

Open Mathematics

2013

tom 11

nr 2

254-263

The article contains a new proof that the Hilbert scheme of irreducible surfaces of degree m in ℙm+1 is irreducible except m = 4. In the case m = 4 the Hilbert scheme consists of two irreducible components explicitly described in the article. The main idea of our approach is to use the proof of Chisini conjecture [Kulikov Vik.S., On Chisini’s conjecture II, Izv. Math., 2008, 72(5), 901–913 (in Russian)] for coverings of projective plane branched in a special class of rational curves.

Ograniczanie wyników

1 Open Mathematics

1 Bogomolov F.

1 Kulikov V.

1 2013

Wyniki wyszukiwania

On the irreducibility of Hilbert scheme of surfaces of minimal degree