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- Title
Bridgeland stability conditions on surfaces with curves of negative self-intersection.
- Authors
Tramel, Rebecca; Xia, Bingyu
- Abstract
Let </mtext><msup><mi>L</mi><mo>•</mo></msup><mo>=</mo><msubsup><mi>i</mi><mn>1</mn><mo>•</mo></msubsup><msub><mi mathvariant="script">O</mi><mi>S</mi></msub><mtext>. The first part of the definition follows from the definitions of HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mi mathvariant="script">T</mi><mi>H</mi><mi>a</mi></msubsup><mtext> and </mtext><msubsup><mi mathvariant="script">F</mi><mi>H</mi><mi>a</mi></msubsup></math> ht directly. </mtext></math> ht (2) HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><msup><mi>H</mi><mn>0</mn></msup></mrow><mfenced open="(" close=")"><mrow class="MJX-TeXAtom-ORD"><msup><mi>E</mi><mo>•</mo></msup></mrow></mfenced><mo> </mo><msubsup><mi class="MJX-tex-caligraphic" mathvariant="script">F</mi><msup><mi>f</mi><mo>*</mo></msup><mi> </mi><mn>0</mn></msubsup><mspace width="thinmathspace" /><mi>i</mi><mi>f</mi><mspace width="thinmathspace" /><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="thinmathspace" /><mi>o</mi><mi>n</mi><mi>l</mi><mi>y</mi><mspace width="thinmathspace" /><mi>i</mi><mi>f</mi><mspace width="thinmathspace" /><mrow class="MJX-TeXAtom-ORD"><msup><mi>E</mi><mo>•</mo></msup></mrow><msup><mo> </mo><mo>-</mo><mn>1</mn></msup><mrow class="MJX-TeXAtom-ORD"><msub><mi class="MJX-tex-caligraphic" mathvariant="script">F</mi><msup><mi>f</mi><mo>*</mo></msup><mi> </mi></msub></mrow><mo>.</mo></math> ht I Proof i .
- Subjects
SHEAF theory; SURFACE stability; ARTIN rings; PROJECTIVE geometry; NONCOMMUTATIVE rings; GEOMETRICAL constructions
- Publication
Advances in Geometry, 2022, Vol 22, Issue 3, p383
- ISSN
1615-715X
- Publication type
Article
- DOI
10.1515/advgeom-2022-0009