Indecomposability of the bounded derived categories of Brill-Noether varieties
Indecomposability of the bounded derived categories of Brill-Noether varieties
We prove that the bounded derived category of coherent sheaves of the Brill-Noether variety <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G Subscript d Superscript r Baseline left-parenthesis upper C right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msubsup> <mml:mi>G</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>d</mml:mi> </mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>r</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo stretchy="false">(</mml:mo> <mml:mi>C</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">G^{r}_{d}(C)</mml:annotation> …