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Heitor
  • Member for 11 years, 3 months
  • Last seen more than 3 years ago
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 Curious
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 Teacher
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Positivity question on K3 surfaces
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Positivity question on K3 surfaces
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Positivity question on K3 surfaces
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Does $h^1(D)=0$ imply numerical connectedness on K3 surfaces?
Ah OK, I see. Thank you! I thought that $h^0(\mathcal{O}_B(−A))=0$ would follow from $A$ being effective. Is this not enough?
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Does $h^1(D)=0$ imply numerical connectedness on K3 surfaces?
Just a question: I don't really see where do you use the injection $H^0(O_D)\subset H^0(O_A)$. I guess the expression for $\chi(O_B(-A))$ is just Riemann-Roch for singular curves, no?
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Does $h^1(D)=0$ imply numerical connectedness on K3 surfaces?
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Smoothness of the quotient surface by an involution with nice fixed locus
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 Excavator
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Why does so much recent work involve K3 surfaces?
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Sufficient conditions for a divisor to be connected on a K3 surface
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revised
Sufficient conditions for a divisor to be connected on a K3 surface
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revised
Sufficient conditions for a divisor to be connected on a K3 surface
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asked
Does $h^1(D)=0$ imply numerical connectedness on K3 surfaces?
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When is the Clifford index of a curve computed by pencils?
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When is the Clifford index of a curve computed by pencils?
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Sufficient conditions for a divisor to be connected on a K3 surface
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Sufficient conditions for a divisor to be connected on a K3 surface
Pardon me @ArtiePrendergast-Smith but I am a bit 'slow'. So does $h^0(O_D)=1$ imply that $D$ is connected?
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Sufficient conditions for a divisor to be connected on a K3 surface
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