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Mathematician, researching in Algebraic Geometry and related topics.


18h
comment The name for the quotient property
What is (if any) the relation of (???) with the usual concept of open map? I mean, continuity + (???) imply that $f$ is open?
2d
awarded  Enlightened
2d
comment College - Ecuation to solve in 3 variables (p,q,r) in [1,2]
1) MO is not for homework. 2) Even if MO were for homework, the effort to write "equation" correctly would be appreciated. Voted to close.
2d
awarded  Nice Answer
2d
revised Extending holomorphic functions
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Oct
17
revised Holomorphic Line Bundles over a Homogeneous Space
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Oct
17
comment Euler characteristic of open varieties as degree of Chern class of logarithmic differentials
You are welcome. Well, in the other few books that I checked, I did not find the explicit computation of $\chi(U)$ in terms of $c_n$ of the logarithmic (co)tangent bundle. I think that the original computation is due to Deligne (maybe Theorie de Hodge II?), you should try and look there.
Oct
17
answered Euler characteristic of open varieties as degree of Chern class of logarithmic differentials
Oct
14
comment Theorem on the algebraic manipulation of divergent series
en.wikipedia.org/wiki/Riemann_series_theorem
Oct
10
revised Holomorphic Line Bundles over a Homogeneous Space
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Oct
10
answered Holomorphic Line Bundles over a Homogeneous Space
Oct
10
revised Does one real radical root imply they all are?
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Oct
10
revised Number of minimal models of a surface
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Oct
10
revised Number of minimal models of a surface
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Oct
10
revised Number of minimal models of a surface
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Oct
9
comment Line on a hyper surface
Think about the first case, that is $n=3$. By Noether-Lefschetz theorem, the very general surface $X$ of degree $\geq 5$ in $\mathbb{P}^3$ has the Picard group which is generated by the hyperplane section. In particular, $X$ contains no lines (more generally, no smooth rational curves).
Oct
9
revised Number of minimal models of a surface
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Oct
9
comment Number of minimal models of a surface
Of course: they are all minimal models belonging to the the birational equivalence class of the ruled surface $C \times \mathbb{P}^1$.
Oct
9
revised Number of minimal models of a surface
added 64 characters in body
Oct
9
answered Number of minimal models of a surface