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Results tagged with ag.algebraic-geometry
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user 124883
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
0
answers
151
views
Surjectivity of multiplicative map (in more specific case)
(I have asked the question Surjectivity of multiplicative map. I ask here the more specific case.)
Let $S$ be a smooth complex algebraic surface, and $D$ be a divisor on $S$ such that $D^2>0$ and $H^ …
- 111
2
votes
1
answer
99
views
The commutativity of minimal extension and direct image by blowing-down
Let $X$ be a sooth algebraic variety over $\mathbb{C}$.
Let us assume that there exists the commutative diagram
$\require{AMScd}$
\begin{CD}
U @>{i}>> \hat{X}\\
@| @VV{\phi}V\\
U @>{j}>> X
\end{CD}
w …
- 111
3
votes
1
answer
263
views
Is direct image of simple $D$-module is also simple?
(I have asked the question
The commutativity of minimal extension $\cdots$ and I simplify this question to the next simple question:)
Let $X$ be a rational variety over $\mathbb{C}$, $\phi : \hat{X} …
- 111
3
votes
0
answers
205
views
Fundamental group of degree 4 del Pezzo surface minus 16 (-1)-curves [Reference request]
Let $S$ be a degree $4$ del Pezzo surface (over $\mathbb{C}$).
That is, $5$ points blow-up of $\mathbb{P}^2$, or $4$ points blow-up of $\mathbb{P}^1 \times \mathbb{P}^1$.
The classical fact is that $ …
- 111