Towards the classification of weak Fano threefolds with ρ = 2

• Autorzy: Joseph Cutrone , Nicholas Marshburn
• Języki publikacji: EN

Abstrakty

EN

In this paper, examples of type II Sarkisov links between smooth complex projective Fano threefolds with Picard number one are provided. To show examples of these links, we study smooth weak Fano threefolds X with Picard number two and with a divisorial extremal ray. We assume that the pluri-anticanonical morphism of X contracts only a finite number of curves. The numerical classification of these particular smooth weak Fano threefolds is completed and the geometric existence of some numerical cases is proven.

Słowa kluczowe

EN

Almost Fano; Weak Fano; Sarksiov Links; Threefolds

Kategorie tematyczne

• 14E07: Birational automorphisms, Cremona group and generalizations
• 14E05: Rational and birational maps
• 14E30: Minimal model program (Mori theory, extremal rays)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 9
• Strony: 1552-1576

Daty

wydano

2013-09-01

online

2013-06-28

Twórcy

autor

Joseph Cutrone

• Johns Hopkins University

autor

Nicholas Marshburn

• Johns Hopkins University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0261-5