All Questions
Tagged with dg.differential-geometry mirror-symmetry
7 questions
-1
votes
0
answers
64
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Axes of symmetry and symmetry group of the tangent cone to an open, connected, convex subset of the Euclidean space
Given a closed convex set $K\subset \mathbb{R}^d$ and a point $x\in K$ the tangent cone to $K$ at $x$ is defined by
\begin{equation}
T_xK:=\overline{\{v\in \mathbb{R}^d: \exists \lambda \geq 0 \text{ ...
- 1,465
2
votes
0
answers
112
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Explicit Lagrangian fibrations of a K3 surface
I would like to look at the behaviour of the fibres of a Lagrangian fibration (such that at least some fibres are not special Lagrangian) $X\to\mathbb{CP}^1$ under the mean curvature flow (in relation ...
- 355
2
votes
0
answers
63
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Coordinate free supersymmetric sigma model Lagrangian
I would like to know if there is a coordinate free version of the Lagrangian of the supersymmetric sigma model on a $2$-dimensional spacetime, with target space a Kähler manifold. The action for this ...
- 355
11
votes
0
answers
450
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K-stability is invariant under D-equivalency
Kawamata conjectured that
Let $X$ and $Y$ be birationally equivalent smooth
projective varieties. Then the following are equivalent. We denote by
$D^b(Coh(X))$ the derived category of bounded ...
user21574
23
votes
3
answers
2k
views
How mirror of quintic was originally found?
In the 90-91 pager
"A PAIR OF CALABI-YAU MANIFOLDS AS AN EXACTLY SOLUBLE SUPERCONFORMAL THEORY",
Candelas, de la Ossa, Green, and Parkes, brought up a family of Calabi-Yau 3-folds, canonically ...
4
votes
2
answers
460
views
A question on the topological change of dualizing a SLAG fibration.
Let $S$ be a K3 surface and $\pi:S\rightarrow B$ be a SLAG $T^2$-fibration. I am struggling with a statement that
Fiberwise dualization does not change the topology of $S$.
Here by fiberwise ...
- 41
4
votes
2
answers
2k
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complexified kahler form
In mirror symmetry one usually considers a complexified kahler form $B+iw$ instead of kahler form $w$ itself.(Or their moduli)
Here is the question:
What does $B$ correspond to? what kind of ...