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PACIFIC JOURNAL OF MATHEMATICS

Volume 223 No. 2 February 2006

Existence of limit cycles for real quadratic differential systems with an

invariant cubic 201

JAVIER CHAVARRIGA AND ISAAC A. GARCIA

A surface of general type with pg = q = 2 and =5 219

JUNGKAI A. CHEN AND CHRISTOPHER D. HACON

Dirichlet forms as Banach algebras and applications 229

FABIO CIPRIANI

Existence of time-periodic solutions to the Navier-Stokes equations around a moving body 251

GIOVANNI P. GALDI AND ANA L. SILVESTRE

An elementary construction of the multigraded Hilbert scheme of points 269

MARK E. HUIBREGTSE

Relative formulae for the spectral invariants of the b-calculus and generalized APS boundary problems of Dirac operators 317

PAUL LOYA AND JINSUNG PARK

Higher-order invariants of immersions of surfaces into 3-space 333

TAHL NOWIK

Mixed norm estimates for some averaging operators in R2 349

DANIEL M. OBERLIN

On the dimension of the set of extremal discs for a CR manifold of

codimension two 361

ALBERTO SCALARI

Local estimates on two linear parabolic equations with singular coefficients 367

Qi S. ZHANG

Editorial Acknowledgments 397

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