25

Answers

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2

Producing $(-2)$ curves on a smooth surface

11

group actions on blow-ups

3

What are the general techniques for proving a variety is not toric?

1

Cohomology of vector bundles via Intersection Theory

1

Geometrically connected curve

8

Defining isogenies over smaller fields

5

Birch and Swinnerton-Dyer conjecture in positive characteristic

0

Determination of rationality and computing a rational parametrization

2

What are the truly ‘global methods’ in number theory?

4

Real vs complex surfaces

6

Is there a classification of surface(smooth and projective) over arbitrary field?

4

Converse to a theorem of Landau on Dirichlet series

1

Euler summation and its transformation

1

Integral roots to degree $d$-forms in four variables inside a box

8

A heuristic for the density of solutions to Diophantine equations

6

Picard number and torsion of Neron-Severi group of abelian varieties over a number field

2

Triviality of line bundle over complex manifold

7

Parametrization of unit varieties

4

Contour integration of $\zeta(s)\zeta(2s)$

3

homology and cohomology of a quotient manifold

4

Algebraic surfaces and their (intrinsic) geometry

4

etale cover of a hyperelliptic curve

6

Calculations of Pic^0, Pic, NS of surfaces

4

Degree of canonical bundle?

0

Same rational points