Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-stable extensions over 1-dimensional bases   Given a family of Calabi-Yau varieties over the punctured disc or over the
field of Laurent series, we show that, after a finite base change, the family
can be exended across the origin while keeping the canonical class trivial.
More generally, we prove similar extension results for families whose
log-canonical class is semi-ample. We use these to show that the Berkovich and
essential skeleta agree for smooth varieties over ${\mathbb C}((t))$ with
semi-ample canonical class.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas