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location Italy
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visits member for 4 years, 11 months
seen Jun 28 at 6:15

Mathematician, researching in Algebraic Geometry and related topics.


Jun
27
comment Mathematics equivalent of Feynman's Lectures in Physics?
@Todd Trimble: I never said I'm agreeing with him :-)
Jun
27
comment Mathematics equivalent of Feynman's Lectures in Physics?
Indeed, in his usual provocative style, he used to say "Physics is to sex as Mathematics is to masturbation" :-)
Jun
27
comment Mathematics equivalent of Feynman's Lectures in Physics?
In my opinion "meaning of things" in Mathematics has a much broad sense than in Physics (where it essentially means "explaination of natural phenomena"). So it is very difficult (if not impossible) to write a treatise in the spirit of Feyman's
Jun
25
revised Theta characteristics of genus$\geq3$ curve
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Jun
25
comment Theta characteristics of genus$\geq3$ curve
Corrected, thanks.
Jun
25
revised Theta characteristics of genus$\geq3$ curve
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Jun
25
revised Theta characteristics of genus$\geq3$ curve
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Jun
25
revised Theta characteristics of genus$\geq3$ curve
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Jun
25
answered Theta characteristics of genus$\geq3$ curve
Jun
24
comment Complex structure on $S^6$ gets published in Journ. Math. Phys
I do not think it is the wrong forum. This is not a preprint, it is a peer-reviewed and published paper claiming to solve a very famous and long-standing problem. It is completely natural to wonder whether it is actually correct or not. At any rate, I agree that the question could be improved.
Jun
24
comment Kummer theory and ramified covers
You can use the same procedure, cant'you? Call $B$ your set of points and let $f$ be a generator of the extension. If $f$ does not vanish at $B$ you are done; otherwise, replace $f$ with $f+\pi^*g$, where $g \in K(Y)$ is any rational function non vanishing at the points of the set $\pi(B)$. In fact, if $b \in B$ we have $$(f+\pi^*g)(p) = f(p) + g(\pi(b)) = g(\pi(b)) \neq 0.$$
Jun
23
revised Kummer theory and ramified covers
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Jun
23
comment Kummer theory and ramified covers
Assume that your generator $f$ vanishes only at the ramification points of $\pi \colon X \to Y$. If $g \in K(Y)$ is such that $g$ does not vanish on the branch locus of $\pi$, then $f + \pi^*g$ is a generator of the extension that does not vanish on the ramification locus of $\pi$.
Jun
21
revised Kummer theory and ramified covers
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Jun
21
revised Kummer theory and ramified covers
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Jun
21
revised Kummer theory and ramified covers
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Jun
21
answered Kummer theory and ramified covers
Jun
16
awarded  Enlightened
Jun
15
revised Non-algebraic K3 surfaces in characteristic $p$
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Jun
15
awarded  Nice Answer