User Basics

9 votes

2 answers

2k views

Why is a Kummer surface simply-connected?

asked Oct 28, 2016 at 15:14

9 votes

1 answer

820 views

Quotients of $K3$ surfaces by finite groups

asked Oct 15, 2019 at 13:23

8 votes

1 answer

301 views

Why are there finitely many deformation types of Calabi-Yau threefolds for a given diffeomorhpic type if $b_2 =1$?

asked Feb 14, 2017 at 20:34

8 votes

1 answer

258 views

Primitivity of subgroups in the Picard groups of anticanonical $K3$ surfaces

asked Mar 4, 2018 at 12:18

7 votes

0 answers

303 views

Exceptional quartic K3 surfaces

asked Sep 17, 2023 at 12:31

6 votes

1 answer

266 views

Examples of non-Kähler compact complex manifolds of dimension four with some properties

asked Jan 19, 2021 at 17:33

6 votes

2 answers

309 views

Possible number of components of anticanonical sections of projective manifolds

asked Apr 30, 2021 at 6:09

6 votes

2 answers

443 views

CY fibration over $\mathbb P^1$ without any singular fibers

asked May 16, 2021 at 12:28

5 votes

0 answers

300 views

Examples or references for this claim about elliptic Calabi-Yau threefolds

asked Dec 4, 2021 at 7:37

5 votes

1 answer

322 views

Mirror symmetry for K3 fibered Calabi-Yau threefolds

asked Jan 2, 2022 at 22:51

5 votes

2 answers

507 views

What are those 'others' in 'the classification table of algebraic three-folds'

asked May 10, 2021 at 5:59

5 votes

1 answer

474 views

Threefolds with the same Betti numbers and the same Chern numbers

asked Jan 2, 2023 at 6:32

4 votes

1 answer

171 views

Big divisors and projectivity

asked Feb 15, 2023 at 5:41

4 votes

0 answers

152 views

Mirror partner of Calabi-Yau threefold

asked Jul 22, 2017 at 22:38

4 votes

1 answer

1k views

What is the value of the infinite product: $(1+ \frac{1}{1^1}) (1+ \frac{1}{2^2}) (1+ \frac{1}{3^3}) \cdots $? [closed]

asked Mar 23, 2015 at 16:17

4 votes

0 answers

109 views

Singularities of hypersurfaces in projective bundles

asked May 26, 2021 at 13:37

3 votes

1 answer

231 views

Irrationality of some threefolds

asked Dec 29, 2021 at 5:49

3 votes

1 answer

453 views

Examples of CY fibrations over $\mathbb P^1$

asked May 21, 2021 at 11:23

3 votes

1 answer

179 views

Projective manifold whose anticanonical section is composed of two components

asked Jun 24, 2021 at 18:45

3 votes

0 answers

193 views

Smallest Hodge numbers of Calabi-Yau threefolds ever found

asked May 31, 2022 at 13:16

3 votes

0 answers

286 views

A K3 cover over a Del Pezzo surface

asked Jul 1, 2022 at 23:05

3 votes

0 answers

319 views

K3 surfaces in Fano threefolds

asked Jul 7, 2022 at 21:31

3 votes

0 answers

265 views

Ample divisor of degree two on a blow-up of $\mathbb P^2$ at nine points

asked Jul 10, 2022 at 23:56

3 votes

0 answers

197 views

A similarity problem over matrices over Gaussian integers

asked Aug 19, 2013 at 9:09

3 votes

0 answers

209 views

Examples of non-Kähler Calabi-Yau 4-folds

asked Oct 5, 2019 at 12:29

3 votes

0 answers

153 views

Rational threefolds with base-point free anticanonical pencil

asked May 11, 2021 at 5:49

3 votes

1 answer

352 views

Ampleness after repeated blow-ups

asked Jan 26, 2017 at 23:19

3 votes

1 answer

704 views

Family of elliptic curves in $\mathbb P^3$

asked Apr 9, 2020 at 8:40

3 votes

0 answers

365 views

Fundamental group of blow-ups

asked Feb 5, 2023 at 16:39

2 votes

0 answers

151 views

Minimal Betti numbers of simply-connected threefolds with trivial canonical class

asked Jan 11, 2023 at 6:19

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41 Questions

Why is a Kummer surface simply-connected?

Quotients of $K3$ surfaces by finite groups

Why are there finitely many deformation types of Calabi-Yau threefolds for a given diffeomorhpic type if $b_2 =1$?

Primitivity of subgroups in the Picard groups of anticanonical $K3$ surfaces

Exceptional quartic K3 surfaces

Examples of non-Kähler compact complex manifolds of dimension four with some properties

Possible number of components of anticanonical sections of projective manifolds

CY fibration over $\mathbb P^1$ without any singular fibers

Examples or references for this claim about elliptic Calabi-Yau threefolds

Mirror symmetry for K3 fibered Calabi-Yau threefolds

What are those 'others' in 'the classification table of algebraic three-folds'

Threefolds with the same Betti numbers and the same Chern numbers

Big divisors and projectivity

Mirror partner of Calabi-Yau threefold

What is the value of the infinite product: $(1+ \frac{1}{1^1}) (1+ \frac{1}{2^2}) (1+ \frac{1}{3^3}) \cdots $? [closed]

Singularities of hypersurfaces in projective bundles

Irrationality of some threefolds

Examples of CY fibrations over $\mathbb P^1$

Projective manifold whose anticanonical section is composed of two components

Smallest Hodge numbers of Calabi-Yau threefolds ever found

A K3 cover over a Del Pezzo surface

K3 surfaces in Fano threefolds

Ample divisor of degree two on a blow-up of $\mathbb P^2$ at nine points

A similarity problem over matrices over Gaussian integers

Examples of non-Kähler Calabi-Yau 4-folds

Rational threefolds with base-point free anticanonical pencil

Ampleness after repeated blow-ups

Family of elliptic curves in $\mathbb P^3$

Fundamental group of blow-ups

Minimal Betti numbers of simply-connected threefolds with trivial canonical class