Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, Mochizuki theory.

**3**

**0**answers

### Automorphy of families of motives

**3**

**0**answers

### Visualization of hidden structures in numbers

**4**

**0**answers

### Twistor projective line

**3**

**0**answers

### Extension of Galois representations from geometry

**5**

**0**answers

### Frey-Mazur for abelian varieties

**7**

**1**answer

### Do arithmetic schemes have non-singular alterations?

**26**

**2**answers

### How to visualize Dirichlet’s unit theorem?

**7**

**3**answers

### Infinite Galois descent for finitely generated commutative algebras over a field

**2**

**0**answers

### Log canonical thresholds of decomposable forms

**2**

**0**answers

### Uniformity of the set of poles of Igusa local zeta functions

**4**

**1**answer

### Pairing on arithmetic surfaces

**2**

**1**answer

### Comparisons of log canonical thresholds

**8**

**1**answer

### How to visualize the Frobenius endomorphism?

**7**

**1**answer

### Mordel's conjecture for function fields in positive characteristic

**2**

**1**answer

### An explicit correspondence for reductions of modular curves $Y(N)$

**1**

**1**answer

### Points of infinite level modular curve

**7**

**0**answers

### Moduli interpretation of Fargues-Fontaine curve

**8**

**0**answers

### What are the possible bad reductions for an abelian variety of dimension $g$ and a maximal endomorphism ring?

**5**

**0**answers

### Smooth morphisms to the moduli stack of elliptic curves

**4**

**0**answers

### Strengthened supercongruences for Ramanujan-type formulas for $1/\pi^k$

**2**

**0**answers

### Specialization map on geometric points

**1**

**0**answers

### Lefschetz trace formula and Frobenius elements

**6**

**1**answer

### Binomial coefficients in discrete valuation rings

**5**

**1**answer

### Is there infinitely many prime $p$ such that the normalized trace of Frobenius $\frac{a_p(E)}{2\sqrt{p}}$ is arbitrarily small (but not zero)?

**3**

**0**answers

### What is the canonical divisor on an arithemetic curve?

**1**

**0**answers

### Reference request: Number of elliptic and hyperbolic quadratic forms of a given rank over a finite field

**3**

**1**answer

### 1-dimensional p-divisible groups, level structures and Cartier divisors

**4**

**1**answer

### Isogeny of Drinfeld module

**2**

**0**answers

### Product formula over arithmetic surface

**7**

**1**answer

### Is there a converse to the Brauer–Nesbitt theorem?

**2**

**0**answers

### Counting intersections of rectilinear lattices

**4**

**1**answer

### Can an algebraic variety over a field $k$ be the union of proper closed subsets $(S_i)_{i\in I}$ with $I < k$

**9**

**0**answers

### Reference request: Newton above Hodge

**4**

**2**answers

### Singular abelian surfaces that can be defined over $\mathbb Q$

**2**

**0**answers

### Lefschetz trace formula over truncated Witt ring

**8**

**0**answers

### On Topological Hochschild Homology

**5**

**0**answers

### Arithmetic symplectic geometry via mirror symmetry?

**4**

**0**answers

### Canonical differential on K3 surface

**1**

**0**answers

### Special formal lifts of smooth algebras

**1**

**0**answers

### The specific elliptic fibration on the Kummer surface of the superspecial abelian surface

**2**

**0**answers

### Elliptic fibrations on the Fermat quartic surface

**0**

**0**answers

### Twisted sheaves on tower of $\mathbb{P}^n$

**11**

**0**answers

### Topological finiteness of etale fundamental group for arithmetic schemes

**3**

**0**answers

### Non algebraizable formal abelian schemes

**2**

**0**answers

### Is the Fermat quartic surface a generalized Zariski surface?

**6**

**1**answer

### Smooth algebras always lift

**3**

**1**answer

### Liftings and closed immersions

**2**

**0**answers

### Under what conditions are superspecial abelian surfaces isomorphic over a finite field?

**3**

**1**answer

### Coherent modules over complete adic rings: counterexamples

**2**

**0**answers