Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative linear extensions of sextic del Pezzo fibrations   In this paper, we study a sextic del Pezzo fibration over a curve
comprehensively. We obtain certain formulae of several basic invariants of such
a fibration. We also establish the embedding theorem of such a fibration which
asserts that every such a fibration is a relative linear section of a Mori
fiber space with the general fiber $(\mathbb{P}^{1})^{3}$ and that with the
general fiber $(\mathbb{P}^{2})^{2}$. As an application of this embedding
theorem, we classify singular fibers of such a fibrations and answer a question
of T. Fujita about existence of non-normal fibers.

13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
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The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph