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seen Dec 8 at 11:23

Jul
2
awarded  Curious
Apr
25
comment On infinitesimal neighbourhood of a point in a projective scheme
@Achinger: Thanks for the answer.
Apr
25
accepted On infinitesimal neighbourhood of a point in a projective scheme
Apr
24
revised On infinitesimal neighbourhood of a point in a projective scheme
deleted 1 character in body
Apr
24
revised On infinitesimal neighbourhood of a point in a projective scheme
edited title
Apr
24
revised On infinitesimal neighbourhood of a point in a projective scheme
edited title
Apr
24
asked On infinitesimal neighbourhood of a point in a projective scheme
Dec
2
revised Global sections of the structure sheaf of a non-reduced projective scheme
added 146 characters in body
Dec
2
revised Global sections of the structure sheaf of a non-reduced projective scheme
edited title
Dec
2
revised Global sections of the structure sheaf of a non-reduced projective scheme
edited title
Dec
2
comment Global sections of the structure sheaf of a non-reduced projective scheme
No. The ideal of $2l+C'$ does not contain the ideal of the plane. See "Le Schema de Hilbert des Courbes gauches localement Cohen-Macualay n'est (presque) jamais reduit" by M Martin-Descamps and D. Perrin Proposition $0.6$ for such examples.
Dec
2
comment Global sections of the structure sheaf of a non-reduced projective scheme
Why the down vote? Is it a trivial question or is there something very unclear?
Dec
2
comment Global sections of the structure sheaf of a non-reduced projective scheme
$C$ is not necessarily a plane curve. I do not know how else to write it. I meant that the curve is the scheme associated to an effective divisor on a surface. Using the adjunction formula one sees that the arithmetic genus depends on the degree of the surface. For example take a smooth surface containing $l, C'$. This will also contain the curve $2l+C'$ as a Weil divisor. But the genus depends on the degree of the surface.
Dec
2
revised Global sections of the structure sheaf of a non-reduced projective scheme
edited tags
Dec
2
asked Global sections of the structure sheaf of a non-reduced projective scheme
Nov
29
comment Hypersurfaces with Picard group generated by classes of lines on the same plane
@Huizenga: The motivation comes from the study of Noether-Lefschetz locus which I unfortunately do not think is possible to explain in a paragraph. I am sorry. I would expect that for $d$ large enough this phenomenon happens. Again this is motivated by results on Noether-Lefschetz locus.
Nov
29
comment Hypersurfaces with Picard group generated by classes of lines on the same plane
@Bright: The base field in $\mathbb{C}$.
Nov
28
asked Hypersurfaces with Picard group generated by classes of lines on the same plane
Nov
23
revised Deformation of a family of curves in a surface
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Nov
23
comment Deformation of a family of curves in a surface
@Huizenga: Sorry, I meant open subset of $B$.