All Questions
Tagged with analytic-geometry reference-request
7
questions
13
votes
1
answer
683
views
Cotangent Complex in Analytic Category
I am looking for a reference which develops the theory of the cotangent complex for complex analytic spaces. I need this to justify some computations I did assuming some formal properties which hold ...
- 1,721
5
votes
1
answer
206
views
Orbits space of real-analytic planar foliations
Consider a foliation of $\mathbb{R}^2$, say coming from the trajectories of a vector field $X$. Its orbit space (the quotient of $\mathbb{R}^2$ by the relation "lying on the same trajectory")...
- 5,289
4
votes
1
answer
247
views
English reference for Douady/Grauert construction of versal deformations of compact complex spaces
I'm trying to learn about the deformation theory of compact complex spaces. I'm familiar with the case of compact complex manifolds from the paper "On the Locally Complete Families of Complex ...
- 1,721
2
votes
1
answer
226
views
Reference to parabola lemma
I am looking for a previous reference to the following very simple geometric lemma, which I use in my paper [arXiv:1503.03462]:
Let $P$ be the parabola $y=x^2$. Let $a,b,c,d$ be four points on $P$ ...
- 1,014
0
votes
1
answer
250
views
Some questions related to the unitary operators
A unitary operator is a surjective linear operator between complex inner product spaces, which preserves the inner product.
What is the name of the analogue for the real case? Orthogonal operator ...
- 5,275
0
votes
1
answer
352
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Reference request: Oldest books on analytic geometry with unsolved exercises?
Per the title, what are some of the oldest books on analytic geometry out there with unsolved exercises? Maybe there are some hidden gems from before the 20th century out there.
0
votes
0
answers
81
views
Good covering of a (singular) curve in a complex surface
Let $W$ be a $2$-dimensional complex manifold and $C\subset W$ a compact complex curve (possibly singular). I would like to know a reference for the following fact: there exists a collection $\{V_j\}...
- 1,185